K-Bessel functions associated to 3-rank Jordan algebra

Mathematics – Classical Analysis and ODEs

Scientific paper

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Scientific paper

10.1155/IJMMS.2005.2863

Using Bessel-Muirhead system, we can express the K-bessel function defined on
a Jordan algebra as linear combination of the J-solutions. We determine
explicitly the coefficients when the rank of this Jordan algebra is three after
a reduction to the rank two. The main tools are some algebraic identities
developed for the occasion.

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